Extensions 1→N→G→Q→1 with N=C₂×C₁₀² and Q=C₂

Direct product G=N×Q with N=C₂×C₁₀² and Q=C₂

		d	ρ	Label	ID
C₂²×C₁₀²		400		C2^2xC10^2	400,221

Semidirect products G=N:Q with N=C₂×C₁₀² and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀²)⋊₁C₂ = D₄×C₅×C₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀²	200		(C2xC10^2):1C2	400,202
(C₂×C₁₀²)⋊₂C₂ = C₁₀×C₅⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀²	40		(C2xC10^2):2C2	400,190
(C₂×C₁₀²)⋊₃C₂ = C₂×C₅²⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀²	200		(C2xC10^2):3C2	400,200
(C₂×C₁₀²)⋊₄C₂ = D₅×C₂²×C₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀²	80		(C2xC10^2):4C2	400,219
(C₂×C₁₀²)⋊₅C₂ = C₂³×C₅⋊D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀²	200		(C2xC10^2):5C2	400,220

Non-split extensions G=N.Q with N=C₂×C₁₀² and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₁₀²).₁C₂ = C₂²⋊C₄×C₅²	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀²	200		(C2xC10^2).1C2	400,109
(C₂×C₁₀²).₂C₂ = C₅×C₂³.D₅	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀²	40		(C2xC10^2).2C2	400,91
(C₂×C₁₀²).₃C₂ = C₁₀²⋊₁₁C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀²	200		(C2xC10^2).3C2	400,107
(C₂×C₁₀²).₄C₂ = Dic₅×C₂×C₁₀	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀²	80		(C2xC10^2).4C2	400,189
(C₂×C₁₀²).₅C₂ = C₂²×C₅²⋊₆C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₁₀²	400		(C2xC10^2).5C2	400,199

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